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$p$-adic Integral Geometry

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 نشر من قبل Antonio Lerario
 تاريخ النشر 2019
  مجال البحث
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We prove a $p$-adic version of the Integral Geometry Formula for averaging the intersection of two $p$-adic projective algebraic sets. We apply this result to give bounds on the number of points in the modulo $p^m$ reduction of a projective set (reproving a result by Oesterle) and to the study of random $p$-adic polynomial systems of equations.



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